Question

Suppose you are testing two fertilizers on bamboo plants A and B, which are growing under identical conditions. Plant A is 6 cm tall and growing at a rate of 4 cm per day. Plant B is 10 cm tall and growing at a rate of 2 cm per day.​

Answer 1

2 days

Explanation:

Step one:

let the number of days be x

and the total height be y

​Plant A is 6 cm tall and growing at a rate of 4 cm per day.

the total height is

y=6+4x------------1

Plant B is 10 cm tall and growing at a rate of 2 cm per day.​

y=10+2x-----------2

Required

time taken for both plants to have the same height

Step two:

equate the two equations to find when the plants will have the same height

6+4x=10+2x

collect like terms

4x-2x=10-6

2x= 4

divide both sides by 2

x= 4/2

x= 2 days